Simplex-Module Algorithm for Expansion of Algebraic Numbers in Multidimensional Continued Fractions-Reference-Cited by-同舟云学术

Simplex-Module Algorithm for Expansion of Algebraic Numbers in Multidimensional Continued Fractions

Published:2017-08-12 Issue:6 Volume:225 Page:924-949
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Zhuravlev V. G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/article/10.1007/s10958-017-3506-1/fulltext.html

Reference19 articles.

1. I. M. Vinogradov, Elements of Number Theory [in Russian], 5th ed., Moscow (1972).

2. V. G. Zhuravlev, “Differentiation of induced toric tilings and multidimensional approximations of algebraic numbers,” Zap. Nauchn. Semin. POMI, 445, 33–92 (2016).

3. A. Ya. Khinchin, Continued Fractions [in Russian], 4th ed., Moscow (1978).

4. V. G. Zhuravlev, “Periodic karyon expansions of cubic irrationalities in continued fractions,” Sovrem. Probl. Matem. 23, 41–66 (2016).

5. V. G. Zhuravlev, “Periodic karyon expansions of algebraic units in multidimensional continued fractions,” Zap. Nauchn. Semin. POMI, 449, 84–129 (2016).

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